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Open AccessArticle

Brownian Motion and Thermophoretic Diffusion Effects on Micropolar Type Nanofluid Flow with Soret and Dufour Impacts over an Inclined Sheet: Keller-Box Simulations

1
School of Quantitative Sciences, Universiti Utara Malaysia, Sintok 06010, Kedah, Malaysia
2
Department of Mathematics, Faculty of Science, University of Sargodha, Sargodha 40100, Pakistan
3
Higher Education Department (HED) Punjab, Lahore 54000, Pakistan
4
Faculty of Mathematics and Statistics, Ton Duc Thang University, Ho Chi Minh City 72915, Vietnam
5
Center of Excellence for Research in Engineering Materials (CEREM), King Saud University, P.O. Box 800, Al-Riyadh 11421, Saudi Arabia
6
Electrochemistry and Corrosion Laboratory, Department of Physical Chemistry, National Research Centre, El-Behoth St. 33, Dokki, Cairo 12622, Egypt
7
Department of Mathematics, College of Arts and Sciences, Prince Sattam bin Abdulaziz University, Wadi Al-Dawaser 11991, Saudi Arabia
*
Author to whom correspondence should be addressed.
Energies 2019, 12(21), 4191; https://doi.org/10.3390/en12214191
Received: 21 September 2019 / Revised: 20 October 2019 / Accepted: 25 October 2019 / Published: 2 November 2019
(This article belongs to the Special Issue Fluid Flow and Heat Transfer Ⅱ)
The principal objective of the current study is to analyze the Brownian motion and thermophoretic impacts on micropolar nanofluid flow over a nonlinear inclined stretching sheet taking into account the Soret and Dufour effects. The compatible similarity transformations are applied to obtain the nonlinear ordinary differential equations from the partial differential equations. The numerical solution of the present study obtained via the Keller-Box technique. The physical quantities of interest are skin friction, Sherwood number, and heat exchange, along with several influences of material parameters on the momentum, temperature, and concentration are elucidated and clarified with diagrams. A decent settlement can be established in the current results with previously published work in the deficiency of incorporating effects. It is found that the growth of the inclination and nonlinear stretching factor decreases the velocity profile. Moreover, the growth of the Soret effect reduces the heat flux rate and wall shear stress. View Full-Text
Keywords: Keller-Box Simulations; micropolar nanofluid; MHD; power law; Soret effect; Dufour effect; inclined surface Keller-Box Simulations; micropolar nanofluid; MHD; power law; Soret effect; Dufour effect; inclined surface
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MDPI and ACS Style

Rafique, K.; Anwar, M.I.; Misiran, M.; Khan, I.; Seikh, A.H.; Sherif, E.-S.M.; Nisar, K.S. Brownian Motion and Thermophoretic Diffusion Effects on Micropolar Type Nanofluid Flow with Soret and Dufour Impacts over an Inclined Sheet: Keller-Box Simulations. Energies 2019, 12, 4191. https://doi.org/10.3390/en12214191

AMA Style

Rafique K, Anwar MI, Misiran M, Khan I, Seikh AH, Sherif E-SM, Nisar KS. Brownian Motion and Thermophoretic Diffusion Effects on Micropolar Type Nanofluid Flow with Soret and Dufour Impacts over an Inclined Sheet: Keller-Box Simulations. Energies. 2019; 12(21):4191. https://doi.org/10.3390/en12214191

Chicago/Turabian Style

Rafique, Khuram; Anwar, Muhammad I.; Misiran, Masnita; Khan, Ilyas; Seikh, Asiful H.; Sherif, El-Sayed M.; Nisar, Kottakkaran S. 2019. "Brownian Motion and Thermophoretic Diffusion Effects on Micropolar Type Nanofluid Flow with Soret and Dufour Impacts over an Inclined Sheet: Keller-Box Simulations" Energies 12, no. 21: 4191. https://doi.org/10.3390/en12214191

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